What is the surface area of a cone with a 6 radius and a 11 height
The surface area of a cone can be calculated using the formula:
Surface Area = πr(r + √(r^2 + h^2)),
where r is the radius of the base of the cone and h is the height of the cone.
Given that the radius (r) is 6 and the height (h) is 11, we can substitute these values into the formula:
Surface Area = π(6)(6 + √(6^2 + 11^2))
Surface Area ≈ 3.14(6)(6 + √(36 + 121))
Surface Area ≈ 3.14(6)(6 + √(157))
Surface Area ≈ 3.14(6)(6 + 12.53)
Surface Area ≈ 3.14(6)(18.53)
Surface Area ≈ 3.14(111.18)
Surface Area ≈ 348.3652
Therefore, the surface area of the cone is approximately 348.3652 square units.